Finding the Third Proportional to 77,635 and 116,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,635 : 116,841.50 = 116,841.50 : x
2. Step 2: Convert to fraction form
   77,635/116,841.50 = 116,841.50/x
3. Step 3: Cross multiply
   77,635x = 116,841.50 × 116,841.50
4. Step 4: Simplify right side
   77,635x = 13,651,936,122.25
5. Step 5: Solve for x
   x = 13,651,936,122.25/77,635
6. Step 6: Final answer
   x = 175,847.70