Finding the Third Proportional to 61,510 and 100,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,510 : 100,438.50 = 100,438.50 : x
2. Step 2: Convert to fraction form
   61,510/100,438.50 = 100,438.50/x
3. Step 3: Cross multiply
   61,510x = 100,438.50 × 100,438.50
4. Step 4: Simplify right side
   61,510x = 10,087,892,282.25
5. Step 5: Solve for x
   x = 10,087,892,282.25/61,510
6. Step 6: Final answer
   x = 164,004.10