Finding the Third Proportional to 83,077.50 and 182,769

Step by Step Solution

1. Step 1: Write the proportion equation
   83,077.50 : 182,769 = 182,769 : x
2. Step 2: Convert to fraction form
   83,077.50/182,769 = 182,769/x
3. Step 3: Cross multiply
   83,077.50x = 182,769 × 182,769
4. Step 4: Simplify right side
   83,077.50x = 33,404,507,361
5. Step 5: Solve for x
   x = 33,404,507,361/83,077.50
6. Step 6: Final answer
   x = 402,088.50