Finding the Third Proportional to 121,347 and 181,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,347 : 181,084.50 = 181,084.50 : x
2. Step 2: Convert to fraction form
   121,347/181,084.50 = 181,084.50/x
3. Step 3: Cross multiply
   121,347x = 181,084.50 × 181,084.50
4. Step 4: Simplify right side
   121,347x = 32,791,596,140.25
5. Step 5: Solve for x
   x = 32,791,596,140.25/121,347
6. Step 6: Final answer
   x = 270,229.97