Finding the Third Proportional to 183,700 and 260,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,700 : 260,006.50 = 260,006.50 : x
2. Step 2: Convert to fraction form
   183,700/260,006.50 = 260,006.50/x
3. Step 3: Cross multiply
   183,700x = 260,006.50 × 260,006.50
4. Step 4: Simplify right side
   183,700x = 67,603,380,042.25
5. Step 5: Solve for x
   x = 67,603,380,042.25/183,700
6. Step 6: Final answer
   x = 368,009.69