Finding the Third Proportional to 78,225 and 112,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,225 : 112,096.50 = 112,096.50 : x
2. Step 2: Convert to fraction form
   78,225/112,096.50 = 112,096.50/x
3. Step 3: Cross multiply
   78,225x = 112,096.50 × 112,096.50
4. Step 4: Simplify right side
   78,225x = 12,565,625,312.25
5. Step 5: Solve for x
   x = 12,565,625,312.25/78,225
6. Step 6: Final answer
   x = 160,634.39