Finding the Third Proportional to 72,594 and 109,506

Step by Step Solution

1. Step 1: Write the proportion equation
   72,594 : 109,506 = 109,506 : x
2. Step 2: Convert to fraction form
   72,594/109,506 = 109,506/x
3. Step 3: Cross multiply
   72,594x = 109,506 × 109,506
4. Step 4: Simplify right side
   72,594x = 11,991,564,036
5. Step 5: Solve for x
   x = 11,991,564,036/72,594
6. Step 6: Final answer
   x = 165,186.71