Finding the Third Proportional to 72,522 and 157,140

Step by Step Solution

1. Step 1: Write the proportion equation
   72,522 : 157,140 = 157,140 : x
2. Step 2: Convert to fraction form
   72,522/157,140 = 157,140/x
3. Step 3: Cross multiply
   72,522x = 157,140 × 157,140
4. Step 4: Simplify right side
   72,522x = 24,692,979,600
5. Step 5: Solve for x
   x = 24,692,979,600/72,522
6. Step 6: Final answer
   x = 340,489.50