Finding the Third Proportional to 138,189 and 292,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,189 : 292,985.50 = 292,985.50 : x
2. Step 2: Convert to fraction form
   138,189/292,985.50 = 292,985.50/x
3. Step 3: Cross multiply
   138,189x = 292,985.50 × 292,985.50
4. Step 4: Simplify right side
   138,189x = 85,840,503,210.25
5. Step 5: Solve for x
   x = 85,840,503,210.25/138,189
6. Step 6: Final answer
   x = 621,181.88