Finding the Third Proportional to 77,085 and 115,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,085 : 115,105.50 = 115,105.50 : x
2. Step 2: Convert to fraction form
   77,085/115,105.50 = 115,105.50/x
3. Step 3: Cross multiply
   77,085x = 115,105.50 × 115,105.50
4. Step 4: Simplify right side
   77,085x = 13,249,276,130.25
5. Step 5: Solve for x
   x = 13,249,276,130.25/77,085
6. Step 6: Final answer
   x = 171,878.78