Finding the Third Proportional to 72,413 and 153,566

Step by Step Solution

1. Step 1: Write the proportion equation
   72,413 : 153,566 = 153,566 : x
2. Step 2: Convert to fraction form
   72,413/153,566 = 153,566/x
3. Step 3: Cross multiply
   72,413x = 153,566 × 153,566
4. Step 4: Simplify right side
   72,413x = 23,582,516,356
5. Step 5: Solve for x
   x = 23,582,516,356/72,413
6. Step 6: Final answer
   x = 325,666.89