Finding the Third Proportional to 114,642 and 152,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,642 : 152,896.50 = 152,896.50 : x
2. Step 2: Convert to fraction form
   114,642/152,896.50 = 152,896.50/x
3. Step 3: Cross multiply
   114,642x = 152,896.50 × 152,896.50
4. Step 4: Simplify right side
   114,642x = 23,377,339,712.25
5. Step 5: Solve for x
   x = 23,377,339,712.25/114,642
6. Step 6: Final answer
   x = 203,916.01