Finding the Third Proportional to 83,555 and 180,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,555 : 180,428.50 = 180,428.50 : x
2. Step 2: Convert to fraction form
   83,555/180,428.50 = 180,428.50/x
3. Step 3: Cross multiply
   83,555x = 180,428.50 × 180,428.50
4. Step 4: Simplify right side
   83,555x = 32,554,443,612.25
5. Step 5: Solve for x
   x = 32,554,443,612.25/83,555
6. Step 6: Final answer
   x = 389,616.94