Finding the Third Proportional to 144,062.25 and 314,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,062.25 : 314,368.50 = 314,368.50 : x
2. Step 2: Convert to fraction form
   144,062.25/314,368.50 = 314,368.50/x
3. Step 3: Cross multiply
   144,062.25x = 314,368.50 × 314,368.50
4. Step 4: Simplify right side
   144,062.25x = 98,827,553,792.25
5. Step 5: Solve for x
   x = 98,827,553,792.25/144,062.25
6. Step 6: Final answer
   x = 686,005.90