Finding the Third Proportional to 116,493 and 176,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,493 : 176,902.50 = 176,902.50 : x
2. Step 2: Convert to fraction form
   116,493/176,902.50 = 176,902.50/x
3. Step 3: Cross multiply
   116,493x = 176,902.50 × 176,902.50
4. Step 4: Simplify right side
   116,493x = 31,294,494,506.25
5. Step 5: Solve for x
   x = 31,294,494,506.25/116,493
6. Step 6: Final answer
   x = 268,638.41