Finding the Third Proportional to 77,746.50 and 116,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,746.50 : 116,599.50 = 116,599.50 : x
2. Step 2: Convert to fraction form
   77,746.50/116,599.50 = 116,599.50/x
3. Step 3: Cross multiply
   77,746.50x = 116,599.50 × 116,599.50
4. Step 4: Simplify right side
   77,746.50x = 13,595,443,400.25
5. Step 5: Solve for x
   x = 13,595,443,400.25/77,746.50
6. Step 6: Final answer
   x = 174,868.88