Finding the Third Proportional to 156,109.50 and 338,465.25

Step by Step Solution

1. Step 1: Write the proportion equation
   156,109.50 : 338,465.25 = 338,465.25 : x
2. Step 2: Convert to fraction form
   156,109.50/338,465.25 = 338,465.25/x
3. Step 3: Cross multiply
   156,109.50x = 338,465.25 × 338,465.25
4. Step 4: Simplify right side
   156,109.50x = 114,558,725,457.56
5. Step 5: Solve for x
   x = 114,558,725,457.56/156,109.50
6. Step 6: Final answer
   x = 733,835.71