Finding the Third Proportional to 155,790.50 and 254,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,790.50 : 254,368.50 = 254,368.50 : x
2. Step 2: Convert to fraction form
   155,790.50/254,368.50 = 254,368.50/x
3. Step 3: Cross multiply
   155,790.50x = 254,368.50 × 254,368.50
4. Step 4: Simplify right side
   155,790.50x = 64,703,333,792.25
5. Step 5: Solve for x
   x = 64,703,333,792.25/155,790.50
6. Step 6: Final answer
   x = 415,322.72