Finding the Third Proportional to 146,254,406,320 and 205,958,432,680

Step by Step Solution

1. Step 1: Write the proportion equation
   146,254,406,320 : 205,958,432,680 = 205,958,432,680 : x
2. Step 2: Convert to fraction form
   146,254,406,320/205,958,432,680 = 205,958,432,680/x
3. Step 3: Cross multiply
   146,254,406,320x = 205,958,432,680 × 205,958,432,680
4. Step 4: Simplify right side
   146,254,406,320x = 42,418,875,992,002,095,218,688
5. Step 5: Solve for x
   x = 42,418,875,992,002,095,218,688/146,254,406,320
6. Step 6: Final answer
   x = 290,034,858,157.99