Finding the Third Proportional to 88,409 and 180,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,409 : 180,903.50 = 180,903.50 : x
2. Step 2: Convert to fraction form
   88,409/180,903.50 = 180,903.50/x
3. Step 3: Cross multiply
   88,409x = 180,903.50 × 180,903.50
4. Step 4: Simplify right side
   88,409x = 32,726,076,312.25
5. Step 5: Solve for x
   x = 32,726,076,312.25/88,409
6. Step 6: Final answer
   x = 370,166.80