Finding the Third Proportional to 99,886.50 and 140,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,886.50 : 140,509.50 = 140,509.50 : x
2. Step 2: Convert to fraction form
   99,886.50/140,509.50 = 140,509.50/x
3. Step 3: Cross multiply
   99,886.50x = 140,509.50 × 140,509.50
4. Step 4: Simplify right side
   99,886.50x = 19,742,919,590.25
5. Step 5: Solve for x
   x = 19,742,919,590.25/99,886.50
6. Step 6: Final answer
   x = 197,653.53