Finding the Third Proportional to 77,893 and 116,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,893 : 116,710.50 = 116,710.50 : x
2. Step 2: Convert to fraction form
   77,893/116,710.50 = 116,710.50/x
3. Step 3: Cross multiply
   77,893x = 116,710.50 × 116,710.50
4. Step 4: Simplify right side
   77,893x = 13,621,340,810.25
5. Step 5: Solve for x
   x = 13,621,340,810.25/77,893
6. Step 6: Final answer
   x = 174,872.46