Finding the Third Proportional to 265,724 and 403,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,724 : 403,506.50 = 403,506.50 : x
2. Step 2: Convert to fraction form
   265,724/403,506.50 = 403,506.50/x
3. Step 3: Cross multiply
   265,724x = 403,506.50 × 403,506.50
4. Step 4: Simplify right side
   265,724x = 162,817,495,542.25
5. Step 5: Solve for x
   x = 162,817,495,542.25/265,724
6. Step 6: Final answer
   x = 612,731.61