Finding the Third Proportional to 164,047.50 and 234,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,047.50 : 234,587.50 = 234,587.50 : x
2. Step 2: Convert to fraction form
   164,047.50/234,587.50 = 234,587.50/x
3. Step 3: Cross multiply
   164,047.50x = 234,587.50 × 234,587.50
4. Step 4: Simplify right side
   164,047.50x = 55,031,295,156.25
5. Step 5: Solve for x
   x = 55,031,295,156.25/164,047.50
6. Step 6: Final answer
   x = 335,459.52