Finding the Third Proportional to 88,683.75 and 205,094.25

Step by Step Solution

1. Step 1: Write the proportion equation
   88,683.75 : 205,094.25 = 205,094.25 : x
2. Step 2: Convert to fraction form
   88,683.75/205,094.25 = 205,094.25/x
3. Step 3: Cross multiply
   88,683.75x = 205,094.25 × 205,094.25
4. Step 4: Simplify right side
   88,683.75x = 42,063,651,383.06
5. Step 5: Solve for x
   x = 42,063,651,383.06/88,683.75
6. Step 6: Final answer
   x = 474,310.70