Finding the Third Proportional to 145,827 and 228,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,827 : 228,460.50 = 228,460.50 : x
2. Step 2: Convert to fraction form
   145,827/228,460.50 = 228,460.50/x
3. Step 3: Cross multiply
   145,827x = 228,460.50 × 228,460.50
4. Step 4: Simplify right side
   145,827x = 52,194,200,060.25
5. Step 5: Solve for x
   x = 52,194,200,060.25/145,827
6. Step 6: Final answer
   x = 357,918.63