Finding the Third Proportional to 77,004 and 103,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,004 : 103,003.50 = 103,003.50 : x
2. Step 2: Convert to fraction form
   77,004/103,003.50 = 103,003.50/x
3. Step 3: Cross multiply
   77,004x = 103,003.50 × 103,003.50
4. Step 4: Simplify right side
   77,004x = 10,609,721,012.25
5. Step 5: Solve for x
   x = 10,609,721,012.25/77,004
6. Step 6: Final answer
   x = 137,781.43