Finding the Third Proportional to 77,883.50 and 116,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,883.50 : 116,695.50 = 116,695.50 : x
2. Step 2: Convert to fraction form
   77,883.50/116,695.50 = 116,695.50/x
3. Step 3: Cross multiply
   77,883.50x = 116,695.50 × 116,695.50
4. Step 4: Simplify right side
   77,883.50x = 13,617,839,720.25
5. Step 5: Solve for x
   x = 13,617,839,720.25/77,883.50
6. Step 6: Final answer
   x = 174,848.84