Finding the Third Proportional to 83,875.50 and 180,263.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,875.50 : 180,263.25 = 180,263.25 : x
2. Step 2: Convert to fraction form
   83,875.50/180,263.25 = 180,263.25/x
3. Step 3: Cross multiply
   83,875.50x = 180,263.25 × 180,263.25
4. Step 4: Simplify right side
   83,875.50x = 32,494,839,300.56
5. Step 5: Solve for x
   x = 32,494,839,300.56/83,875.50
6. Step 6: Final answer
   x = 387,417.53