Finding the Third Proportional to 238,053 and 315,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,053 : 315,931.50 = 315,931.50 : x
2. Step 2: Convert to fraction form
   238,053/315,931.50 = 315,931.50/x
3. Step 3: Cross multiply
   238,053x = 315,931.50 × 315,931.50
4. Step 4: Simplify right side
   238,053x = 99,812,712,692.25
5. Step 5: Solve for x
   x = 99,812,712,692.25/238,053
6. Step 6: Final answer
   x = 419,287.77