Finding the Third Proportional to 101,635 and 148,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,635 : 148,807.50 = 148,807.50 : x
2. Step 2: Convert to fraction form
   101,635/148,807.50 = 148,807.50/x
3. Step 3: Cross multiply
   101,635x = 148,807.50 × 148,807.50
4. Step 4: Simplify right side
   101,635x = 22,143,672,056.25
5. Step 5: Solve for x
   x = 22,143,672,056.25/101,635
6. Step 6: Final answer
   x = 217,874.47