Finding the Third Proportional to 183,537 and 258,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,537 : 258,463.50 = 258,463.50 : x
2. Step 2: Convert to fraction form
   183,537/258,463.50 = 258,463.50/x
3. Step 3: Cross multiply
   183,537x = 258,463.50 × 258,463.50
4. Step 4: Simplify right side
   183,537x = 66,803,380,832.25
5. Step 5: Solve for x
   x = 66,803,380,832.25/183,537
6. Step 6: Final answer
   x = 363,977.73