Finding the Third Proportional to 78,468 and 117,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,468 : 117,877.50 = 117,877.50 : x
2. Step 2: Convert to fraction form
   78,468/117,877.50 = 117,877.50/x
3. Step 3: Cross multiply
   78,468x = 117,877.50 × 117,877.50
4. Step 4: Simplify right side
   78,468x = 13,895,105,006.25
5. Step 5: Solve for x
   x = 13,895,105,006.25/78,468
6. Step 6: Final answer
   x = 177,079.89