Finding the Third Proportional to 80,746.50 and 188,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,746.50 : 188,602.50 = 188,602.50 : x
2. Step 2: Convert to fraction form
   80,746.50/188,602.50 = 188,602.50/x
3. Step 3: Cross multiply
   80,746.50x = 188,602.50 × 188,602.50
4. Step 4: Simplify right side
   80,746.50x = 35,570,903,006.25
5. Step 5: Solve for x
   x = 35,570,903,006.25/80,746.50
6. Step 6: Final answer
   x = 440,525.63