Finding the Third Proportional to 183,523 and 258,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,523 : 258,434.50 = 258,434.50 : x
2. Step 2: Convert to fraction form
   183,523/258,434.50 = 258,434.50/x
3. Step 3: Cross multiply
   183,523x = 258,434.50 × 258,434.50
4. Step 4: Simplify right side
   183,523x = 66,788,390,790.25
5. Step 5: Solve for x
   x = 66,788,390,790.25/183,523
6. Step 6: Final answer
   x = 363,923.82