Finding the Third Proportional to 100,964 and 156,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,964 : 156,312.50 = 156,312.50 : x
2. Step 2: Convert to fraction form
   100,964/156,312.50 = 156,312.50/x
3. Step 3: Cross multiply
   100,964x = 156,312.50 × 156,312.50
4. Step 4: Simplify right side
   100,964x = 24,433,597,656.25
5. Step 5: Solve for x
   x = 24,433,597,656.25/100,964
6. Step 6: Final answer
   x = 242,003.07