Finding the Third Proportional to 177,210 and 267,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,210 : 267,084.50 = 267,084.50 : x
2. Step 2: Convert to fraction form
   177,210/267,084.50 = 267,084.50/x
3. Step 3: Cross multiply
   177,210x = 267,084.50 × 267,084.50
4. Step 4: Simplify right side
   177,210x = 71,334,130,140.25
5. Step 5: Solve for x
   x = 71,334,130,140.25/177,210
6. Step 6: Final answer
   x = 402,540.09