Finding the Third Proportional to 133,945.50 and 182,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,945.50 : 182,407.50 = 182,407.50 : x
2. Step 2: Convert to fraction form
   133,945.50/182,407.50 = 182,407.50/x
3. Step 3: Cross multiply
   133,945.50x = 182,407.50 × 182,407.50
4. Step 4: Simplify right side
   133,945.50x = 33,272,496,056.25
5. Step 5: Solve for x
   x = 33,272,496,056.25/133,945.50
6. Step 6: Final answer
   x = 248,403.24