Finding the Third Proportional to 78,400.50 and 117,779.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,400.50 : 117,779.25 = 117,779.25 : x
2. Step 2: Convert to fraction form
   78,400.50/117,779.25 = 117,779.25/x
3. Step 3: Cross multiply
   78,400.50x = 117,779.25 × 117,779.25
4. Step 4: Simplify right side
   78,400.50x = 13,871,951,730.56
5. Step 5: Solve for x
   x = 13,871,951,730.56/78,400.50
6. Step 6: Final answer
   x = 176,937.03