Finding the Third Proportional to 88,765.50 and 194,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,765.50 : 194,722.50 = 194,722.50 : x
2. Step 2: Convert to fraction form
   88,765.50/194,722.50 = 194,722.50/x
3. Step 3: Cross multiply
   88,765.50x = 194,722.50 × 194,722.50
4. Step 4: Simplify right side
   88,765.50x = 37,916,852,006.25
5. Step 5: Solve for x
   x = 37,916,852,006.25/88,765.50
6. Step 6: Final answer
   x = 427,157.53