Finding the Third Proportional to 103,434 and 153,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,434 : 153,205.50 = 153,205.50 : x
2. Step 2: Convert to fraction form
   103,434/153,205.50 = 153,205.50/x
3. Step 3: Cross multiply
   103,434x = 153,205.50 × 153,205.50
4. Step 4: Simplify right side
   103,434x = 23,471,925,230.25
5. Step 5: Solve for x
   x = 23,471,925,230.25/103,434
6. Step 6: Final answer
   x = 226,926.59