Finding the Third Proportional to 72,700 and 109,414

Step by Step Solution

1. Step 1: Write the proportion equation
   72,700 : 109,414 = 109,414 : x
2. Step 2: Convert to fraction form
   72,700/109,414 = 109,414/x
3. Step 3: Cross multiply
   72,700x = 109,414 × 109,414
4. Step 4: Simplify right side
   72,700x = 11,971,423,396
5. Step 5: Solve for x
   x = 11,971,423,396/72,700
6. Step 6: Final answer
   x = 164,668.82