Finding the Third Proportional to 149,724 and 164,486.25

Step by Step Solution

1. Step 1: Write the proportion equation
   149,724 : 164,486.25 = 164,486.25 : x
2. Step 2: Convert to fraction form
   149,724/164,486.25 = 164,486.25/x
3. Step 3: Cross multiply
   149,724x = 164,486.25 × 164,486.25
4. Step 4: Simplify right side
   149,724x = 27,055,726,439.06
5. Step 5: Solve for x
   x = 27,055,726,439.06/149,724
6. Step 6: Final answer
   x = 180,704.00