Finding the Third Proportional to 156,051 and 204,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   156,051 : 204,031.50 = 204,031.50 : x
2. Step 2: Convert to fraction form
   156,051/204,031.50 = 204,031.50/x
3. Step 3: Cross multiply
   156,051x = 204,031.50 × 204,031.50
4. Step 4: Simplify right side
   156,051x = 41,628,852,992.25
5. Step 5: Solve for x
   x = 41,628,852,992.25/156,051
6. Step 6: Final answer
   x = 266,764.41