Finding the Third Proportional to 88,746.50 and 193,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,746.50 : 193,041.50 = 193,041.50 : x
2. Step 2: Convert to fraction form
   88,746.50/193,041.50 = 193,041.50/x
3. Step 3: Cross multiply
   88,746.50x = 193,041.50 × 193,041.50
4. Step 4: Simplify right side
   88,746.50x = 37,265,020,722.25
5. Step 5: Solve for x
   x = 37,265,020,722.25/88,746.50
6. Step 6: Final answer
   x = 419,904.12