Finding the Third Proportional to 183,413 and 402,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,413 : 402,478.50 = 402,478.50 : x
2. Step 2: Convert to fraction form
   183,413/402,478.50 = 402,478.50/x
3. Step 3: Cross multiply
   183,413x = 402,478.50 × 402,478.50
4. Step 4: Simplify right side
   183,413x = 161,988,942,962.25
5. Step 5: Solve for x
   x = 161,988,942,962.25/183,413
6. Step 6: Final answer
   x = 883,192.27