Finding the Third Proportional to 183,006 and 292,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,006 : 292,207.50 = 292,207.50 : x
2. Step 2: Convert to fraction form
   183,006/292,207.50 = 292,207.50/x
3. Step 3: Cross multiply
   183,006x = 292,207.50 × 292,207.50
4. Step 4: Simplify right side
   183,006x = 85,385,223,056.25
5. Step 5: Solve for x
   x = 85,385,223,056.25/183,006
6. Step 6: Final answer
   x = 466,570.62