Finding the Third Proportional to 192,196.50 and 293,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,196.50 : 293,032.50 = 293,032.50 : x
2. Step 2: Convert to fraction form
   192,196.50/293,032.50 = 293,032.50/x
3. Step 3: Cross multiply
   192,196.50x = 293,032.50 × 293,032.50
4. Step 4: Simplify right side
   192,196.50x = 85,868,046,056.25
5. Step 5: Solve for x
   x = 85,868,046,056.25/192,196.50
6. Step 6: Final answer
   x = 446,772.16