Finding the Third Proportional to 78,311 and 117,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,311 : 117,812.50 = 117,812.50 : x
2. Step 2: Convert to fraction form
   78,311/117,812.50 = 117,812.50/x
3. Step 3: Cross multiply
   78,311x = 117,812.50 × 117,812.50
4. Step 4: Simplify right side
   78,311x = 13,879,785,156.25
5. Step 5: Solve for x
   x = 13,879,785,156.25/78,311
6. Step 6: Final answer
   x = 177,239.28