Finding the Third Proportional to 69,519 and 151,786

Step by Step Solution

1. Step 1: Write the proportion equation
   69,519 : 151,786 = 151,786 : x
2. Step 2: Convert to fraction form
   69,519/151,786 = 151,786/x
3. Step 3: Cross multiply
   69,519x = 151,786 × 151,786
4. Step 4: Simplify right side
   69,519x = 23,038,989,796
5. Step 5: Solve for x
   x = 23,038,989,796/69,519
6. Step 6: Final answer
   x = 331,405.66