Finding the Third Proportional to 100,602 and 207,582.75

Step by Step Solution

1. Step 1: Write the proportion equation
   100,602 : 207,582.75 = 207,582.75 : x
2. Step 2: Convert to fraction form
   100,602/207,582.75 = 207,582.75/x
3. Step 3: Cross multiply
   100,602x = 207,582.75 × 207,582.75
4. Step 4: Simplify right side
   100,602x = 43,090,598,097.56
5. Step 5: Solve for x
   x = 43,090,598,097.56/100,602
6. Step 6: Final answer
   x = 428,327.45