Finding the Third Proportional to 77,536.50 and 158,358

Step by Step Solution

1. Step 1: Write the proportion equation
   77,536.50 : 158,358 = 158,358 : x
2. Step 2: Convert to fraction form
   77,536.50/158,358 = 158,358/x
3. Step 3: Cross multiply
   77,536.50x = 158,358 × 158,358
4. Step 4: Simplify right side
   77,536.50x = 25,077,256,164
5. Step 5: Solve for x
   x = 25,077,256,164/77,536.50
6. Step 6: Final answer
   x = 323,425.18