Finding the Third Proportional to 156,093 and 233,513

Step by Step Solution

1. Step 1: Write the proportion equation
   156,093 : 233,513 = 233,513 : x
2. Step 2: Convert to fraction form
   156,093/233,513 = 233,513/x
3. Step 3: Cross multiply
   156,093x = 233,513 × 233,513
4. Step 4: Simplify right side
   156,093x = 54,528,321,169
5. Step 5: Solve for x
   x = 54,528,321,169/156,093
6. Step 6: Final answer
   x = 349,332.26