Finding the Third Proportional to 78,355 and 117,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,355 : 117,703.50 = 117,703.50 : x
2. Step 2: Convert to fraction form
   78,355/117,703.50 = 117,703.50/x
3. Step 3: Cross multiply
   78,355x = 117,703.50 × 117,703.50
4. Step 4: Simplify right side
   78,355x = 13,854,113,912.25
5. Step 5: Solve for x
   x = 13,854,113,912.25/78,355
6. Step 6: Final answer
   x = 176,812.12