Finding the Third Proportional to 183,536 and 258,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,536 : 258,465.50 = 258,465.50 : x
2. Step 2: Convert to fraction form
   183,536/258,465.50 = 258,465.50/x
3. Step 3: Cross multiply
   183,536x = 258,465.50 × 258,465.50
4. Step 4: Simplify right side
   183,536x = 66,804,414,690.25
5. Step 5: Solve for x
   x = 66,804,414,690.25/183,536
6. Step 6: Final answer
   x = 363,985.35