Finding the Third Proportional to 116,102 and 177,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,102 : 177,478.50 = 177,478.50 : x
2. Step 2: Convert to fraction form
   116,102/177,478.50 = 177,478.50/x
3. Step 3: Cross multiply
   116,102x = 177,478.50 × 177,478.50
4. Step 4: Simplify right side
   116,102x = 31,498,617,962.25
5. Step 5: Solve for x
   x = 31,498,617,962.25/116,102
6. Step 6: Final answer
   x = 271,301.25