Finding the Third Proportional to 147,645 and 229,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,645 : 229,054.50 = 229,054.50 : x
2. Step 2: Convert to fraction form
   147,645/229,054.50 = 229,054.50/x
3. Step 3: Cross multiply
   147,645x = 229,054.50 × 229,054.50
4. Step 4: Simplify right side
   147,645x = 52,465,963,970.25
5. Step 5: Solve for x
   x = 52,465,963,970.25/147,645
6. Step 6: Final answer
   x = 355,352.12