Finding the Third Proportional to 157,410 and 245,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,410 : 245,527.50 = 245,527.50 : x
2. Step 2: Convert to fraction form
   157,410/245,527.50 = 245,527.50/x
3. Step 3: Cross multiply
   157,410x = 245,527.50 × 245,527.50
4. Step 4: Simplify right side
   157,410x = 60,283,753,256.25
5. Step 5: Solve for x
   x = 60,283,753,256.25/157,410
6. Step 6: Final answer
   x = 382,972.83