Finding the Third Proportional to 88,218 and 208,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,218 : 208,219.50 = 208,219.50 : x
2. Step 2: Convert to fraction form
   88,218/208,219.50 = 208,219.50/x
3. Step 3: Cross multiply
   88,218x = 208,219.50 × 208,219.50
4. Step 4: Simplify right side
   88,218x = 43,355,360,180.25
5. Step 5: Solve for x
   x = 43,355,360,180.25/88,218
6. Step 6: Final answer
   x = 491,457.07