Finding the Third Proportional to 99,786 and 149,673.75

Step by Step Solution

1. Step 1: Write the proportion equation
   99,786 : 149,673.75 = 149,673.75 : x
2. Step 2: Convert to fraction form
   99,786/149,673.75 = 149,673.75/x
3. Step 3: Cross multiply
   99,786x = 149,673.75 × 149,673.75
4. Step 4: Simplify right side
   99,786x = 22,402,231,439.06
5. Step 5: Solve for x
   x = 22,402,231,439.06/99,786
6. Step 6: Final answer
   x = 224,502.75