Finding the Third Proportional to 72,338 and 109,527

Step by Step Solution

1. Step 1: Write the proportion equation
   72,338 : 109,527 = 109,527 : x
2. Step 2: Convert to fraction form
   72,338/109,527 = 109,527/x
3. Step 3: Cross multiply
   72,338x = 109,527 × 109,527
4. Step 4: Simplify right side
   72,338x = 11,996,163,729
5. Step 5: Solve for x
   x = 11,996,163,729/72,338
6. Step 6: Final answer
   x = 165,834.88