Finding the Third Proportional to 83,745 and 113,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,745 : 113,719.50 = 113,719.50 : x
2. Step 2: Convert to fraction form
   83,745/113,719.50 = 113,719.50/x
3. Step 3: Cross multiply
   83,745x = 113,719.50 × 113,719.50
4. Step 4: Simplify right side
   83,745x = 12,932,124,680.25
5. Step 5: Solve for x
   x = 12,932,124,680.25/83,745
6. Step 6: Final answer
   x = 154,422.65