Finding the Third Proportional to 103,414 and 112,602

Step by Step Solution

1. Step 1: Write the proportion equation
   103,414 : 112,602 = 112,602 : x
2. Step 2: Convert to fraction form
   103,414/112,602 = 112,602/x
3. Step 3: Cross multiply
   103,414x = 112,602 × 112,602
4. Step 4: Simplify right side
   103,414x = 12,679,210,404
5. Step 5: Solve for x
   x = 12,679,210,404/103,414
6. Step 6: Final answer
   x = 122,606.32