Finding the Third Proportional to 103,414 and 152,079

Step by Step Solution

1. Step 1: Write the proportion equation
   103,414 : 152,079 = 152,079 : x
2. Step 2: Convert to fraction form
   103,414/152,079 = 152,079/x
3. Step 3: Cross multiply
   103,414x = 152,079 × 152,079
4. Step 4: Simplify right side
   103,414x = 23,128,022,241
5. Step 5: Solve for x
   x = 23,128,022,241/103,414
6. Step 6: Final answer
   x = 223,644.98