Finding the Third Proportional to 78,234 and 117,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,234 : 117,715.50 = 117,715.50 : x
2. Step 2: Convert to fraction form
   78,234/117,715.50 = 117,715.50/x
3. Step 3: Cross multiply
   78,234x = 117,715.50 × 117,715.50
4. Step 4: Simplify right side
   78,234x = 13,856,938,940.25
5. Step 5: Solve for x
   x = 13,856,938,940.25/78,234
6. Step 6: Final answer
   x = 177,121.70