Finding the Third Proportional to 174,981 and 374,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,981 : 374,746.50 = 374,746.50 : x
2. Step 2: Convert to fraction form
   174,981/374,746.50 = 374,746.50/x
3. Step 3: Cross multiply
   174,981x = 374,746.50 × 374,746.50
4. Step 4: Simplify right side
   174,981x = 140,434,939,262.25
5. Step 5: Solve for x
   x = 140,434,939,262.25/174,981
6. Step 6: Final answer
   x = 802,572.50