Finding the Third Proportional to 183,534 and 414,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,534 : 414,957.50 = 414,957.50 : x
2. Step 2: Convert to fraction form
   183,534/414,957.50 = 414,957.50/x
3. Step 3: Cross multiply
   183,534x = 414,957.50 × 414,957.50
4. Step 4: Simplify right side
   183,534x = 172,189,726,806.25
5. Step 5: Solve for x
   x = 172,189,726,806.25/183,534
6. Step 6: Final answer
   x = 938,189.80