Finding the Third Proportional to 180,468 and 384,157.69

Step by Step Solution

1. Step 1: Write the proportion equation
   180,468 : 384,157.69 = 384,157.69 : x
2. Step 2: Convert to fraction form
   180,468/384,157.69 = 384,157.69/x
3. Step 3: Cross multiply
   180,468x = 384,157.69 × 384,157.69
4. Step 4: Simplify right side
   180,468x = 147,577,128,865.35
5. Step 5: Solve for x
   x = 147,577,128,865.35/180,468
6. Step 6: Final answer
   x = 817,746.80