Finding the Third Proportional to 74,862 and 164,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,862 : 164,791.50 = 164,791.50 : x
2. Step 2: Convert to fraction form
   74,862/164,791.50 = 164,791.50/x
3. Step 3: Cross multiply
   74,862x = 164,791.50 × 164,791.50
4. Step 4: Simplify right side
   74,862x = 27,156,238,472.25
5. Step 5: Solve for x
   x = 27,156,238,472.25/74,862
6. Step 6: Final answer
   x = 362,750.64