Finding the Third Proportional to 138,190 and 292,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,190 : 292,987.50 = 292,987.50 : x
2. Step 2: Convert to fraction form
   138,190/292,987.50 = 292,987.50/x
3. Step 3: Cross multiply
   138,190x = 292,987.50 × 292,987.50
4. Step 4: Simplify right side
   138,190x = 85,841,675,156.25
5. Step 5: Solve for x
   x = 85,841,675,156.25/138,190
6. Step 6: Final answer
   x = 621,185.87