Finding the Third Proportional to 177,667.50 and 234,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,667.50 : 234,748.50 = 234,748.50 : x
2. Step 2: Convert to fraction form
   177,667.50/234,748.50 = 234,748.50/x
3. Step 3: Cross multiply
   177,667.50x = 234,748.50 × 234,748.50
4. Step 4: Simplify right side
   177,667.50x = 55,106,858,252.25
5. Step 5: Solve for x
   x = 55,106,858,252.25/177,667.50
6. Step 6: Final answer
   x = 310,168.48