Finding the Third Proportional to 42,298.50 and 100,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,298.50 : 100,207.50 = 100,207.50 : x
2. Step 2: Convert to fraction form
   42,298.50/100,207.50 = 100,207.50/x
3. Step 3: Cross multiply
   42,298.50x = 100,207.50 × 100,207.50
4. Step 4: Simplify right side
   42,298.50x = 10,041,543,056.25
5. Step 5: Solve for x
   x = 10,041,543,056.25/42,298.50
6. Step 6: Final answer
   x = 237,397.14