Finding the Third Proportional to 183,543 and 258,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,543 : 258,472.50 = 258,472.50 : x
2. Step 2: Convert to fraction form
   183,543/258,472.50 = 258,472.50/x
3. Step 3: Cross multiply
   183,543x = 258,472.50 × 258,472.50
4. Step 4: Simplify right side
   183,543x = 66,808,033,256.25
5. Step 5: Solve for x
   x = 66,808,033,256.25/183,543
6. Step 6: Final answer
   x = 363,991.18