Finding the Third Proportional to 193,014 and 292,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,014 : 292,801.50 = 292,801.50 : x
2. Step 2: Convert to fraction form
   193,014/292,801.50 = 292,801.50/x
3. Step 3: Cross multiply
   193,014x = 292,801.50 × 292,801.50
4. Step 4: Simplify right side
   193,014x = 85,732,718,402.25
5. Step 5: Solve for x
   x = 85,732,718,402.25/193,014
6. Step 6: Final answer
   x = 444,178.76