Finding the Third Proportional to 88,010 and 205,364

Step by Step Solution

1. Step 1: Write the proportion equation
   88,010 : 205,364 = 205,364 : x
2. Step 2: Convert to fraction form
   88,010/205,364 = 205,364/x
3. Step 3: Cross multiply
   88,010x = 205,364 × 205,364
4. Step 4: Simplify right side
   88,010x = 42,174,372,496
5. Step 5: Solve for x
   x = 42,174,372,496/88,010
6. Step 6: Final answer
   x = 479,199.78