Finding the Third Proportional to 99,758 and 145,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,758 : 145,915.50 = 145,915.50 : x
2. Step 2: Convert to fraction form
   99,758/145,915.50 = 145,915.50/x
3. Step 3: Cross multiply
   99,758x = 145,915.50 × 145,915.50
4. Step 4: Simplify right side
   99,758x = 21,291,333,140.25
5. Step 5: Solve for x
   x = 21,291,333,140.25/99,758
6. Step 6: Final answer
   x = 213,429.83