Finding the Third Proportional to 143,038.50 and 314,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   143,038.50 : 314,641.50 = 314,641.50 : x
2. Step 2: Convert to fraction form
   143,038.50/314,641.50 = 314,641.50/x
3. Step 3: Cross multiply
   143,038.50x = 314,641.50 × 314,641.50
4. Step 4: Simplify right side
   143,038.50x = 98,999,273,522.25
5. Step 5: Solve for x
   x = 98,999,273,522.25/143,038.50
6. Step 6: Final answer
   x = 692,116.27