Finding the Third Proportional to 507,648 and 761,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   507,648 : 761,581.50 = 761,581.50 : x
2. Step 2: Convert to fraction form
   507,648/761,581.50 = 761,581.50/x
3. Step 3: Cross multiply
   507,648x = 761,581.50 × 761,581.50
4. Step 4: Simplify right side
   507,648x = 580,006,381,142.25
5. Step 5: Solve for x
   x = 580,006,381,142.25/507,648
6. Step 6: Final answer
   x = 1,142,536.52