Finding the Third Proportional to 99,525 and 139,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,525 : 139,972.50 = 139,972.50 : x
2. Step 2: Convert to fraction form
   99,525/139,972.50 = 139,972.50/x
3. Step 3: Cross multiply
   99,525x = 139,972.50 × 139,972.50
4. Step 4: Simplify right side
   99,525x = 19,592,300,756.25
5. Step 5: Solve for x
   x = 19,592,300,756.25/99,525
6. Step 6: Final answer
   x = 196,858.08